Reduced-rank models for interaction in unequally replicated two-way classifications

DOI10.1016/0047-259X(89)90098-5zbMath0665.62071MaRDI QIDQ1116240

Robert J. Boik

Publication date: 1989

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

likelihood ratio testdimensionalitymaximum likelihood estimatorcharacteristic rootsWishart matrixsimultaneous inferenceinteraction matrixFANOVAasymptotic null distributionunion-intersection testproduct interaction contrastsreduced-rank regression modelsunequally replicated two-way classifications

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (5)

Unnamed Item ⋮ Inference on covariance matrices under rank restrictions ⋮ Hierarchical multilinear models for multiway data ⋮ Two-way ANOVA models with unbalanced data ⋮ A comparison of three invariant tests of additivity in two-way classifications with no replications

Uses Software

• SAS

Cites Work

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• Generalizing the Singular Value Decomposition
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• Some New Multiple Comparison Procedures for the Two-Way AOV Model with Interaction
• Stepwise Tests for Multiplicative Components of Interaction
• A New Analysis of Variance Model for Non-Additive Data
• An Analysis of a Two-Way Model with Interaction and No Replication
• Linear Statistical Inference and its Applications
• On a Heuristic Method of Test Construction and its use in Multivariate Analysis
• Normal Multivariate Analysis and the Orthogonal Group

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